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31302001040 = 245419543293
BaseRepresentation
bin11101001001101111…
…101010000110010000
32222210111020102000212
4131021233222012100
51003101303013130
622214022303252
72155456422152
oct351157520620
988714212025
1031302001040
1112303188752
126096b87b28
132c4b050b0b
14172d32aad2
15c330b1e95
hex749bea190

31302001040 has 40 divisors (see below), whose sum is σ = 74552212728. Its totient is φ = 12215413760.

The previous prime is 31302001037. The next prime is 31302001061. The reversal of 31302001040 is 4010020313.

It can be written as a sum of positive squares in 4 ways, for example, as 1357775104 + 29944225936 = 36848^2 + 173044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×313020010402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4768367 + ... + 4774926.

Almost surely, 231302001040 is an apocalyptic number.

It is an amenable number.

31302001040 is an abundant number, since it is smaller than the sum of its proper divisors (43250211688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31302001040 is a wasteful number, since it uses less digits than its factorization.

31302001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543347 (or 9543341 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31302001040 its reverse (4010020313), we get a palindrome (35312021353).

The spelling of 31302001040 in words is "thirty-one billion, three hundred two million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 9543293 19086586 38173172 47716465 76346344 95432930 152692688 190865860 381731720 391275013 763463440 782550026 1565100052 1956375065 3130200104 3912750130 6260400208 7825500260 15651000520 31302001040